1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Butoxors [25]
3 years ago
6

To help consumers assess the risks they are​ taking, the Food and Drug Administration​ (FDA) publishes the amount of nicotine fo

und in all commercial brands of cigarettes. A new cigarette has recently been marketed. The FDA tests on this cigarette yielded mean nicotine content of 25.325.3 milligrams and standard deviation of 2.72.7 milligrams for a sample of n equals 9n=9 cigarettes. Construct a 9090​% confidence interval for the mean nicotine content of this brand of cigarette.
Mathematics
1 answer:
Anni [7]3 years ago
7 0

Answer:

The 90​% confidence interval for the mean nicotine content of this brand of cigarette is between 20.3 milligrams and 30.3 milligrams.

Step-by-step explanation:

We have the standard deviation for the sample, so we use the t-distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 9 - 1 = 8

90% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 8 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.9}{2} = 0.95. So we have T = 1.8595

The margin of error is:

M = T*s = 1.8595*2.7 = 5

In which s is the standard deviation of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 25.3 - 5 = 20.3 milligrams

The upper end of the interval is the sample mean added to M. So it is 25.3 + 5 = 30.3 milligrams.

The 90​% confidence interval for the mean nicotine content of this brand of cigarette is between 20.3 milligrams and 30.3 milligrams.

You might be interested in
How do I solve this?
snow_lady [41]

Answer:

below the ans

Step-by-step explanation:

cos k = 5/23

= .21

5 0
2 years ago
Write a real world situation that would representby the system y=3x +20 and y=5x + 10
ryzh [129]
There are 2 car rental companies
the first one charges 3 dollars per day you drive plus a 20 dollar insurance fee

the second one charges 5 dollars per day and a 10 dollar insurance fee
y=cost
x=days
4 0
3 years ago
Will mark brainlist if right 15 pts
aleksley [76]

Answer:

g(x)=x-1\\g(f(x))=(-2x-5)-1\\g(f(x)=-2x-6

Step-by-step explanation:

So this is a composition of functions.  Think back to solutions of equations.  You would have to put the equation into the other equations.  It's like this!

So I graphed it like this on desmos:

g(x)=x-1\\g(f(x))=(-2x-5)-1\\g(f(x)=-2x-6

3 0
2 years ago
Graded Assignment
san4es73 [151]

Answer:

1.) Amount of potting soil purchased last week.

2) 2p + 4 = 28

3.) 12 lbs

Step-by-step explanation:

1.) The unknown information is what we intend to find out using the information given, which is the amount of potting soil Emmanuel bought last week.

2.)

Let amount of potting soil bought last week = p

Amount bought this week = 2p + 4

Since amount bought this week = 28

Hence, we have ;

28 = 2p + 4

28 - 4 = 2p

24 = 2p

p = 24 / 2

p = 12

8 0
2 years ago
Which polynomial represents the sum below? (4x5 + 6x3 + 3) + (3x3 + x + 9)​
umka21 [38]

Answer:

i think

 4x^5+9x^3+x+12

Step-by-step explanation:

7 0
2 years ago
Other questions:
  • A sign on the pumps at a gas station encourages customers to have their oil checked, and claims that one out of 8 cars needs to
    15·1 answer
  • A farmer wants to fence a rectangular area of 128 square feet next to a river. Find the length and width of the rectangle which
    10·1 answer
  • If arc XV = 68° and LYUV = 36°, what is the measure of arc VҮ?<br> - 120°<br> 130°<br> 140°<br> 150»
    7·1 answer
  • Yes Or No Full Question Is Below Thanks
    7·2 answers
  • May somebody help me please .
    14·1 answer
  • Solve: -4x &lt; 20 <br> x &lt; 5<br> x &gt; 5<br> x &lt; -5<br> x &gt; -5
    13·2 answers
  • To find the distance between (-5, 17) and (4, -5)
    15·2 answers
  • Lowest common denominator of 16 5 25 9
    9·1 answer
  • Help please I'm marking brainiest
    11·1 answer
  • Which of the following could be the ratio between the lengths
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!